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Large-deviation local theorem for additive functionals of a Markov Gaussian field. I - MaRDI portal

Large-deviation local theorem for additive functionals of a Markov Gaussian field. I (Q5942194)

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scientific article; zbMATH DE number 1638047
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Large-deviation local theorem for additive functionals of a Markov Gaussian field. I
scientific article; zbMATH DE number 1638047

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    Large-deviation local theorem for additive functionals of a Markov Gaussian field. I (English)
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    22 July 2002
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    The author presents a large-deviation local limit theorem for additive functionals of \(d\)-Markov Gaussian random fields. In the proof of the main result the author uses the so-called cumulant methods that work well in both cases of sums of independent and those of dependent random variables.
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    Markov Gaussian random field
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    large deviations
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    local limit theorem
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